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Finding the Fourth Proportional to 21,538.28, 29,724.30 and 12,106.82

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Solution

The fourth proportional to 21,538.28, 29,724.30 and 12,106.82 is: 16,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.28 : 29,724.30 = 12,106.82 : x
  2. Step 2: Convert to fraction form
    21,538.28/29,724.30 = 12,106.82/x
  3. Step 3: Cross multiply
    21,538.28x = 29,724.30 × 12,106.82
  4. Step 4: Simplify right side
    21,538.28x = 359,866,749.73
  5. Step 5: Solve for x
    x = 359,866,749.73/21,538.28
  6. Step 6: Final answer
    x = 16,708.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.